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What is Elliptic Curves and Frobenius Traces about?

1. The document discusses two problems related to the distribution of primes for elliptic curves: finding the least prime where the Frobenius traces of two non-isogenous curves have opposite signs, and finding the least prime where the Sato-Tate angle of a single curve lies in a given interval. 2. For the first problem, the document proves under certain assumptions on symmetric power L-functions, that there exists a prime p such that the Frobenius traces have opposite signs and p is less than 32(log N)2,

Author

al

Language

EN